Cooperative Lot Sizing Games in Supply Chains

  • Julia Drechsel

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 644)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Julia Drechsel
    Pages 1-3
  3. Julia Drechsel
    Pages 5-39
  4. Julia Drechsel
    Pages 41-53
  5. Julia Drechsel
    Pages 55-61
  6. Julia Drechsel
    Pages 63-80
  7. Julia Drechsel
    Pages 81-85
  8. Julia Drechsel
    Pages 141-143
  9. Back Matter
    Pages 145-167

About this book


The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs among the partners. The core is a well known method from cooperative game theory that describes efficient and stable profit/cost allocations. A general algorithm based on the idea of constraint generation to compute core elements for cooperative optimization problems is provided. Beside its application for the classical core, an extensive discussion of core variants is presented and how they can be handled with the proposed algorithm. The second part of the thesis contains several cooperative lot sizing problems of different complexity that are analyzed regarding theoretical properties like monotonicity or concavity and solved with the proposed row generation algorithm to compute core elements; i.e. determining stable and fair cost allocations.


Algorithmic Game Theory Cooperative Game Theory Core Lot Size Optimization Operations Research Games algorithms game theory optimization

Authors and affiliations

  • Julia Drechsel
    • 1
  1. 1.DüsseldorfGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-13724-2
  • Online ISBN 978-3-642-13725-9
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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